Answer:
Let x pound of the sugar to make 20% syrup.
As per the statement:
Mom wants to make 5 Ibs of the sugar syrup.
We have to find how much water and sugar does she need to make 20% syrup.
By definition of proportion; we have
[tex]\frac{x}{5} = \frac{20}{100}[/tex]
Simplify:
[tex]\frac{x}{5} = \frac{1}{5}[/tex]
Multiply both sides by 5 we get;
[tex]x = 1[/tex]
Remaining = 5 -1 = 4 pounds of water
Therefore, 1 pounds of sugar and 4 pounds of water does she need to make 20% syrup.